345202000 has 320 divisors, whose sum is σ = 1052932608. Its totient is φ = 107520000.

The previous prime is 345201977. The next prime is 345202003. The reversal of 345202000 is 202543.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4861965 + ... + 4862035.

Almost surely, 2^345202000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526466304).

345202000 is an abundant number, since it is smaller than the sum of its proper divisors (707730608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345202000 is a wasteful number, since it uses less digits than its factorization.

345202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345202000 is about 18579.6124825035. The cubic root of 345202000 is about 701.4947650225.

Adding to 345202000 its reverse (202543), we get a palindrome (345404543).

The spelling of 345202000 in words is "three hundred forty-five million, two hundred two thousand".